Search a number
-
+
2120069773008 = 2433111971330721
BaseRepresentation
bin11110110110011110000…
…000010111011011010000
321111200021022022022001000
4132312132000113123100
5234213400330214013
64301540244542000
7306112206510225
oct36663600273320
97450238268030
102120069773008
11748131131450
122a2a730b1900
13124bca03ab35
147487d19994c
153a234166973
hex1ed9e0176d0

2120069773008 has 320 divisors, whose sum is σ = 7086446438400. Its totient is φ = 600058368000.

The previous prime is 2120069772983. The next prime is 2120069773021. The reversal of 2120069773008 is 8003779600212.

2120069773008 is a `hidden beast` number, since 212 + 0 + 0 + 69 + 77 + 300 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6245088 + ... + 6575808.

It is an arithmetic number, because the mean of its divisors is an integer number (22145145120).

Almost surely, 22120069773008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120069773008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543223219200).

2120069773008 is an abundant number, since it is smaller than the sum of its proper divisors (4966376665392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120069773008 is a wasteful number, since it uses less digits than its factorization.

2120069773008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330839 (or 330827 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2120069773008 in words is "two trillion, one hundred twenty billion, sixty-nine million, seven hundred seventy-three thousand, eight".